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Proof step 284 from proof byte-law-and-one (previous step)

int2bits(j) = bits2 + bits1, # bits1 = 8, int2bits(i) = bits0 + bits, # bits = 8, bits.first, 8 ≤ # bits2 + # bitsand(bits1, bits) ⊦ lastn(8, bitsand(bits1, bits)) = lastn(8, bits2 + bitsand(bits1, bits)), bits2 + bits1 = [], bits2 = [], bits0 = [], bits1 = [], bits = [], # bits2 + # bitsand(bits1, bits) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 285:
⊦ n ≤ # bits → lastn(n, bits0 + bits) = lastn(n, bits)
Proof step 286:
¬ 8 ≤ # bitsand(bits1, bits), int2bits(j) = bits2 + bits1, # bits1 = 8, int2bits(i) = bits0 + bits, # bits = 8, bits.first, 8 ≤ # bits2 + # bitsand(bits1, bits) ⊦ lastn(8, bitsand(bits1, bits)) = lastn(8, bits2 + bitsand(bits1, bits)), bits2 + bits1 = [], bits2 = [], bits0 = [], bits1 = [], bits = [], # bits2 + # bitsand(bits1, bits) = 0

Rule argument

seq: ⊦ n ≤ # bits → lastn(n, bits0 + bits) = lastn(n, bits) subst: [bits, bits0, n] → [bitsand(bits1, bits), bits2, 8] rotate: F spec: list-del inst: bitlista name: lastN-append-01

Additional information

Used terms: bitsand(bits1, bits), bits2, 8